45429828473664

Names of 45429828473664

• Cardinal: 45429828473664 can be written as Forty-five trillion, four hundred twenty-nine billion, eight hundred twenty-eight million, four hundred seventy-three thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.5429828473664 × 10¹³

Factors of 45429828473664

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2354

Divisors of 45429828473664

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 83 96 102 127 136 144 153 166 192 204 233 249 254 272 288 306 332 381 408 466 498 508 544 576 612 664 699 747 762 816 932 996 1016 1088 1143 1224 1328 1398 1411 1494 1524 1632 1864 1889 1992 2032 2097 2159 2286 2448 2656 2796 2822 2988 3048 3264 3728 3778 3961 3984 4064 4194 4233 4318 4572 4896 5312 5592 5644 5667 5976 6096 6477 7456 7556 7922 7968 8128 8388 8466 8636 9144 9792 10541 11184 11288 11334 11883 11952 12192 12699 12954 14912 15112 15844 15936 16776 16932 17001 17272 18288 19339 19431 21082 22368 22576 22668 23766 23904 24384 25398 25908 29591 30224 31623 31688 32113 33552 33864 34002 34544 35649 36576 38678 38862 42164 44736 45152 45336 47532 47808 50796 51816 58017 59182 60448 63246 63376 64226 67104 67728 68004 69088 71298 73152 77356 77724 84328 88773 90304 90672 94869 95064 96339 101592 103632 116034 118364 120896 126492 126752 128452 134208 135456 136008 138176 142596 154712 155448 156787 168656 174051 177546 179197 181344 189738 190128 192678 203184 207264 232068 236728 239903 252984 253504 256904 266319 270912 272016 285192 289017 309424 310896 313574 328763 337312 348102 355092 358394 362688 379476 380256 385356 406368 414528 440137 464136 470361 473456 479806 503047 505968 513808 532638 537591 544032 570384 578034 618848 621792 627148 657526 674624 696204 710184 716788 719709 758952 760512 770712 812736 880274 928272 940722 946912 959612 986289 1006094 1011936 1027616 1065276 1075182 1088064 1140768 1156068 1237696 1243584 1254296 1315052 1320411 1392408 1411083 1420368 1433576 1439418 1509141 1517904 1541424 1612773 1760548 1856544 1881444 1893824 1919224 1972578 2012188 2023872 2055232 2130552 2150364 2159127 2281536 2312136 2456053 2508592 2630104 2640822 2665379 2784816 2822166 2840736 2867152 2878836 2958867 3018282 3035808 3082848 3225546 3521096 3713088 3762888 3838448 3945156 3961233 4024376 4078351 4261104 4300728 4318254 4527423 4624272 4912106 5017184 5260208 5281644 5330758 5569632 5644332 5681472 5734304 5757672 5917734 6036564 6071616 6165696 6451092 7042192 7368159 7482329 7525776 7676896 7890312 7922466 7996137 8048752 8156702 8522208 8601456 8636508 9054846 9248544 9824212 10034368 10520416 10563288 10661516 11139264 11288664 11468608 11515344 11835468 12073128 12235053 12902184 14084384 14736318 14964658 15051552 15353792 15780624 15844932 15992274 16097504 16313404 17044416 17202912 17273016 18109692 18497088 19648424 19911949 21040832 21126576 21323032 22104477 22446987 22577328 23030688 23670936 23988411 24146256 24470106 25804368 28168768 29472636 29929316 30103104 31561248 31689864 31984548 32195008 32626808 34405824 34546032 36219384 36531371 36705159 39296848 39823898 41752901 42253152 42646064 44208954 44893974 45154656 46061376 47341872 47976822 48292512 48940212 51608736 55897399 58945272 59735847 59858632 63122496 63379728 63969096 65253616 67340961 69092064 72438768 73062742 73410318 78593696 79647796 83505802 84506304 85292128 88417908 89787948 90309312 94683744 95953644 96585024 97880424 103217472 109594113 111794798 117890544 119471694 119717264 125258703 126759456 127938192 130507232 134681922 138184128 144877536 146125484 146820636 157187392 159295592 167011604 167692197 170584256 176835816 179207541 179575896 189367488 191907288 195760848 219188226 223589596 235781088 238943388 239434528 250517406 253518912 255876384 261014464 269363844 289755072 292250968 293641272 318591184 328782339 334023208 335384394 338503133 353671632 358415082 359151792 375776109 383814576 391521696 438376452 447179192 471562176 477886776 478869056 501034812 503076591 511752768 538727688 584501936 587282544 621033307 637182368 657564678 668046416 670768788 677006266 707343264 716830164 718303584 751552218 767629152 783043392 876752904 894358384 950255783 955773552 1002069624 1006153182 1015509399 1077455376 1169003872 1174565088 1242066614 1274364736 1315129356 1336092832 1341537576 1354012532 1414686528 1433660328 1436607168 1503104436 1535258304 1753505808 1788716768 1863099921 1900511566 1911547104 2004139248 2012306364 2031018798 2154910752 2338007744 2349130176 2484133228 2630258712 2672185664 2683075152 2708025064 2850767349 2867320656 3006208872 3046528197 3507011616 3577433536 3726199842 3801023132 3823094208 4008278496 4024612728 4062037596 4309821504 4639484117 4968266456 5260517424 5366150304 5416050128 5589299763 5701534698 5734641312 6012417744 6093056394 7014023232 7452399684 7602046264 8016556992 8049225456 8124075192 8552302047 9278968234 9936532912 10521034848 10732300608 10832100256 11178599526 11403069396 11469282624 12024835488 12186112788 13918452351 14904799368 15204092528 16098450912 16248150384 17104604094 18557936468 19873065824 21042069696 21664200512 22357199052 22806138792 24049670976 24372225576 27836904702 29809598736 30408185056 32196901824 32496300768 34209208188 37115872936 39746131648 41755357053 44714398104 45612277584 48744451152 55673809404 59619197472 60816370112 64992601536 68418416376 74231745872 78871229989 83510714106 89428796208 91224555168 97488902304 111347618808 119238394944 136836832752 148463491744 157742459978 167021428212 178857592416 182449110336 194977804608 222695237616 236613689967 273673665504 296926983488 315484919956 334042856424 357715184832 445390475232 473227379934 547347331008 630969839912 668085712848 709841069901 890780950464 946454759868 1261939679824 1336171425696 1419682139802 1892909519736 2523879359648 2672342851392 2839364279604 3785819039472 5047758719296 5678728559208 7571638078944 11357457118416 15143276157888 22714914236832 45429828473664
• Sum of all divisors σ(n): 141314424975360
• Sum of proper divisors (its aliquot sum) s(n): 95884596501696
• 45429828473664 is an abundant number, because the sum of its proper divisors (95884596501696) is greater than itself. Its abundance is 50454768028032

Bases of 45429828473664

• Binary: 1010010101000101110100110010011101001101000000₂
• Hexadecimal: 0x295174C9D340
• Base-36: G3Q6AWR40

Squares and roots of 45429828473664

• 45429828473664 squared (45429828473664²) is 2063869315146532323941584896
• 45429828473664 cubed (45429828473664³) is 93761228979165353562673570560144756178944
• The square root of 45429828473664 is 6740165.3150100109
• The cube root of 45429828473664 is 35681.8228187399

Scales and comparisons

• 45,429,828,473,664 seconds is equal to 1,444,528 years, 1 week, 22 hours, 14 minutes, 24 seconds.
• To count from 1 to 45,429,828,473,664 would take you about three million, six hundred eleven thousand, three hundred twenty years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 45429828473664 cubic inches would be around 2973.5 feet tall.

Recreational maths with 45429828473664

• 45429828473664 backwards is 46637482892454
• 45429828473664 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45429828473664's digits is 72
• More coming soon!